On the matching of eigensolutions to parametric partial differential equations

07/13/2022

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by   Moataz M. Alghamdi, et al.

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In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one dimensional example. In particular, we introduce a new algorithm capable to track the matching of eigenvalues when the parameters vary.